Pandas Profiling Report

Dataset statistics

Number of variables	12
Number of observations	4898
Missing cells	5376
Missing cells (%)	9.1%
Duplicate rows	118
Duplicate rows (%)	2.4%
Total size in memory	459.3 KiB
Average record size in memory	96.0 B

Variable types

NUM	11
CAT	1

Warnings

Dataset has 118 (2.4%) duplicate rows	Duplicates
`fixed acidity` has 498 (10.2%) missing values	Missing
`volatile acidity` has 467 (9.5%) missing values	Missing
`citric acid` has 487 (9.9%) missing values	Missing
`residual sugar` has 464 (9.5%) missing values	Missing
`chlorides` has 511 (10.4%) missing values	Missing
`free sulfur dioxide` has 500 (10.2%) missing values	Missing
`total sulfur dioxide` has 469 (9.6%) missing values	Missing
`density` has 485 (9.9%) missing values	Missing
`pH` has 483 (9.9%) missing values	Missing
`sulphates` has 526 (10.7%) missing values	Missing
`alcohol` has 486 (9.9%) missing values	Missing

Reproduction

Analysis started	2020-10-09 15:44:17.202920
Analysis finished	2020-10-09 15:44:30.955801
Duration	13.75 seconds
Software version	pandas-profiling v2.9.0
Download configuration	config.yaml

fixed acidity
Real number (ℝ_≥0)

MISSING

Distinct	67
Distinct (%)	1.5%
Missing	498
Missing (%)	10.2%
Infinite	0
Infinite (%)	0.0%

Mean	6.849079545
Minimum	3.8
Maximum	11.8
Zeros	0
Zeros (%)	0.0%
Memory size	38.3 KiB

Quantile statistics

Minimum	3.8
5-th percentile	5.6
Q1	6.3
median	6.8
Q3	7.3
95-th percentile	8.3
Maximum	11.8
Range	8
Interquartile range (IQR)	1

Descriptive statistics

Standard deviation	0.8358749443
Coefficient of variation (CV)	0.1220419384
Kurtosis	1.113152139
Mean	6.849079545
Median Absolute Deviation (MAD)	0.5
Skewness	0.5085564094
Sum	30135.95
Variance	0.6986869225
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
6.8	276	5.6%
6.6	262	5.3%
6.4	252	5.1%
6.7	215	4.4%
6.9	212	4.3%
7	211	4.3%
6.5	210	4.3%
7.2	190	3.9%
7.4	177	3.6%
6.2	176	3.6%
Other values (57)	2219	45.3%
(Missing)	498	10.2%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
3.8	1	< 0.1%
3.9	1	< 0.1%
4.2	2	< 0.1%
4.4	3	0.1%
4.5	1	< 0.1%

Value	Count	Frequency (%)
11.8	1	< 0.1%
10.7	1	< 0.1%
10.3	2	< 0.1%
10.2	1	< 0.1%
10	2	< 0.1%

volatile acidity
Real number (ℝ_≥0)

MISSING

Distinct	119
Distinct (%)	2.7%
Missing	467
Missing (%)	9.5%
Infinite	0
Infinite (%)	0.0%

Mean	0.2778571429
Minimum	0.08
Maximum	1.1
Zeros	0
Zeros (%)	0.0%
Memory size	38.3 KiB

Quantile statistics

Minimum	0.08
5-th percentile	0.15
Q1	0.21
median	0.26
Q3	0.32
95-th percentile	0.46
Maximum	1.1
Range	1.02
Interquartile range (IQR)	0.11

Descriptive statistics

Standard deviation	0.1001514976
Coefficient of variation (CV)	0.3604424079
Kurtosis	5.177265027
Mean	0.2778571429
Median Absolute Deviation (MAD)	0.06
Skewness	1.568396912
Sum	1231.185
Variance	0.01003032248
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.28	232	4.7%
0.24	229	4.7%
0.26	221	4.5%
0.22	213	4.3%
0.25	213	4.3%
0.27	197	4.0%
0.23	194	4.0%
0.2	194	4.0%
0.3	181	3.7%
0.21	169	3.5%
Other values (109)	2388	48.8%
(Missing)	467	9.5%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.08	4	0.1%
0.085	1	< 0.1%
0.1	5	0.1%
0.105	6	0.1%
0.11	12	0.2%

Value	Count	Frequency (%)
1.1	1	< 0.1%
1.005	1	< 0.1%
0.965	1	< 0.1%
0.93	1	< 0.1%
0.905	1	< 0.1%

citric acid
Real number (ℝ_≥0)

MISSING

Distinct	87
Distinct (%)	2.0%
Missing	487
Missing (%)	9.9%
Infinite	0
Infinite (%)	0.0%

Mean	0.3346701428
Minimum	0
Maximum	1.66
Zeros	17
Zeros (%)	0.3%
Memory size	38.3 KiB

Quantile statistics

Minimum	0
5-th percentile	0.17
Q1	0.27
median	0.32
Q3	0.39
95-th percentile	0.54
Maximum	1.66
Range	1.66
Interquartile range (IQR)	0.12

Descriptive statistics

Standard deviation	0.1222739898
Coefficient of variation (CV)	0.3653567324
Kurtosis	6.46138061
Mean	0.3346701428
Median Absolute Deviation (MAD)	0.06
Skewness	1.336434192
Sum	1476.23
Variance	0.01495092858
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.3	277	5.7%
0.28	250	5.1%
0.32	234	4.8%
0.34	202	4.1%
0.29	198	4.0%
0.26	196	4.0%
0.27	193	3.9%
0.49	189	3.9%
0.31	177	3.6%
0.24	165	3.4%
Other values (77)	2330	47.6%
(Missing)	487	9.9%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	17	0.3%
0.01	7	0.1%
0.02	4	0.1%
0.03	2	< 0.1%
0.04	12	0.2%

Value	Count	Frequency (%)
1.66	1	< 0.1%
1.23	1	< 0.1%
1	5	0.1%
0.99	1	< 0.1%
0.91	2	< 0.1%

residual sugar
Real number (ℝ_≥0)

MISSING

Distinct	304
Distinct (%)	6.9%
Missing	464
Missing (%)	9.5%
Infinite	0
Infinite (%)	0.0%

Mean	6.393222824
Minimum	0.6
Maximum	65.8
Zeros	0
Zeros (%)	0.0%
Memory size	38.3 KiB

Quantile statistics

Minimum	0.6
5-th percentile	1.1
Q1	1.7
median	5.2
Q3	9.85
95-th percentile	15.8
Maximum	65.8
Range	65.2
Interquartile range (IQR)	8.15

Descriptive statistics

Standard deviation	5.086484589
Coefficient of variation (CV)	0.7956057109
Kurtosis	3.852947643
Mean	6.393222824
Median Absolute Deviation (MAD)	3.6
Skewness	1.117488511
Sum	28347.55
Variance	25.87232548
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
1.2	172	3.5%
1.4	163	3.3%
1.6	146	3.0%
1.3	136	2.8%
1.1	135	2.8%
1.5	125	2.6%
1.8	93	1.9%
1.7	88	1.8%
1	80	1.6%
2	71	1.4%
Other values (294)	3225	65.8%
(Missing)	464	9.5%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.6	2	< 0.1%
0.7	5	0.1%
0.8	23	0.5%
0.9	36	0.7%
0.95	2	< 0.1%

Value	Count	Frequency (%)
65.8	1	< 0.1%
31.6	2	< 0.1%
26.05	2	< 0.1%
23.5	1	< 0.1%
22.6	1	< 0.1%

chlorides
Real number (ℝ_≥0)

MISSING

Distinct	157
Distinct (%)	3.6%
Missing	511
Missing (%)	10.4%
Infinite	0
Infinite (%)	0.0%

Mean	0.04601800775
Minimum	0.009
Maximum	0.346
Zeros	0
Zeros (%)	0.0%
Memory size	38.3 KiB

Quantile statistics

Minimum	0.009
5-th percentile	0.027
Q1	0.036
median	0.043
Q3	0.05
95-th percentile	0.0677
Maximum	0.346
Range	0.337
Interquartile range (IQR)	0.014

Descriptive statistics

Standard deviation	0.02239629583
Coefficient of variation (CV)	0.4866854722
Kurtosis	37.06569
Mean	0.04601800775
Median Absolute Deviation (MAD)	0.007
Skewness	5.034741483
Sum	201.881
Variance	0.0005015940669
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.044	176	3.6%
0.036	173	3.5%
0.046	162	3.3%
0.048	159	3.2%
0.04	159	3.2%
0.045	157	3.2%
0.042	155	3.2%
0.047	155	3.2%
0.034	152	3.1%
0.038	149	3.0%
Other values (147)	2790	57.0%
(Missing)	511	10.4%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.009	1	< 0.1%
0.012	1	< 0.1%
0.014	3	0.1%
0.015	4	0.1%
0.016	5	0.1%

Value	Count	Frequency (%)
0.346	1	< 0.1%
0.301	1	< 0.1%
0.29	1	< 0.1%
0.271	1	< 0.1%
0.255	1	< 0.1%

free sulfur dioxide
Real number (ℝ_≥0)

MISSING

Distinct	129
Distinct (%)	2.9%
Missing	500
Missing (%)	10.2%
Infinite	0
Infinite (%)	0.0%

Mean	35.39483856
Minimum	2
Maximum	289
Zeros	0
Zeros (%)	0.0%
Memory size	38.3 KiB

Quantile statistics

Minimum	2
5-th percentile	11
Q1	23
median	34
Q3	46
95-th percentile	63
Maximum	289
Range	287
Interquartile range (IQR)	23

Descriptive statistics

Standard deviation	17.09292196
Coefficient of variation (CV)	0.4829213143
Kurtosis	12.17592225
Mean	35.39483856
Median Absolute Deviation (MAD)	11
Skewness	1.448020763
Sum	155666.5
Variance	292.1679811
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
29	137	2.8%
26	117	2.4%
35	116	2.4%
34	115	2.3%
31	115	2.3%
36	108	2.2%
24	106	2.2%
33	101	2.1%
25	100	2.0%
37	100	2.0%
Other values (119)	3283	67.0%
(Missing)	500	10.2%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
2	1	< 0.1%
3	9	0.2%
4	9	0.2%
5	19	0.4%
6	26	0.5%

Value	Count	Frequency (%)
289	1	< 0.1%
146.5	1	< 0.1%
131	1	< 0.1%
128	1	< 0.1%
124	1	< 0.1%

total sulfur dioxide
Real number (ℝ_≥0)

MISSING

Distinct	247
Distinct (%)	5.6%
Missing	469
Missing (%)	9.6%
Infinite	0
Infinite (%)	0.0%

Mean	137.7562655
Minimum	9
Maximum	440
Zeros	0
Zeros (%)	0.0%
Memory size	38.3 KiB

Quantile statistics

Minimum	9
5-th percentile	75
Q1	108
median	134
Q3	166
95-th percentile	210
Maximum	440
Range	431
Interquartile range (IQR)	58

Descriptive statistics

Standard deviation	42.07877001
Coefficient of variation (CV)	0.3054581209
Kurtosis	0.5829306493
Mean	137.7562655
Median Absolute Deviation (MAD)	29
Skewness	0.3837512055
Sum	610122.5
Variance	1770.622886
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
111	60	1.2%
117	53	1.1%
150	53	1.1%
122	51	1.0%
118	50	1.0%
140	50	1.0%
128	50	1.0%
113	49	1.0%
114	48	1.0%
156	47	1.0%
Other values (237)	3918	80.0%
(Missing)	469	9.6%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
9	1	< 0.1%
18	2	< 0.1%
19	1	< 0.1%
21	1	< 0.1%
24	2	< 0.1%

Value	Count	Frequency (%)
440	1	< 0.1%
366.5	1	< 0.1%
307.5	1	< 0.1%
303	1	< 0.1%
294	1	< 0.1%

density
Real number (ℝ_≥0)

MISSING

Distinct	869
Distinct (%)	19.7%
Missing	485
Missing (%)	9.9%
Infinite	0
Infinite (%)	0.0%

Mean	0.9940384194
Minimum	0.98711
Maximum	1.03898
Zeros	0
Zeros (%)	0.0%
Memory size	38.3 KiB

Quantile statistics

Minimum	0.98711
5-th percentile	0.98963
Q1	0.99174
median	0.9938
Q3	0.99612
95-th percentile	0.999008
Maximum	1.03898
Range	0.05187
Interquartile range (IQR)	0.00438

Descriptive statistics

Standard deviation	0.003013857396
Coefficient of variation (CV)	0.003031932505
Kurtosis	10.59304292
Mean	0.9940384194
Median Absolute Deviation (MAD)	0.00215
Skewness	1.040244148
Sum	4386.691545
Variance	9.083336401e-06
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.992	57	1.2%
0.9928	55	1.1%
0.9932	50	1.0%
0.993	47	1.0%
0.9934	47	1.0%
0.9938	45	0.9%
0.9944	42	0.9%
0.9927	41	0.8%
0.9948	40	0.8%
0.9924	40	0.8%
Other values (859)	3949	80.6%
(Missing)	485	9.9%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.98711	1	< 0.1%
0.98713	1	< 0.1%
0.98722	1	< 0.1%
0.9874	1	< 0.1%
0.98742	2	< 0.1%

Value	Count	Frequency (%)
1.03898	1	< 0.1%
1.0103	2	< 0.1%
1.00295	2	< 0.1%
1.00241	1	< 0.1%
1.0024	1	< 0.1%

pH
Real number (ℝ_≥0)

MISSING

Distinct	101
Distinct (%)	2.3%
Missing	483
Missing (%)	9.9%
Infinite	0
Infinite (%)	0.0%

Mean	3.188061155
Minimum	2.74
Maximum	3.82
Zeros	0
Zeros (%)	0.0%
Memory size	38.3 KiB

Quantile statistics

Minimum	2.74
5-th percentile	2.96
Q1	3.08
median	3.18
Q3	3.28
95-th percentile	3.46
Maximum	3.82
Range	1.08
Interquartile range (IQR)	0.2

Descriptive statistics

Standard deviation	0.1516803655
Coefficient of variation (CV)	0.04757762104
Kurtosis	0.5643898337
Mean	3.188061155
Median Absolute Deviation (MAD)	0.1
Skewness	0.483780226
Sum	14075.29
Variance	0.02300693328
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
3.14	156	3.2%
3.16	151	3.1%
3.22	135	2.8%
3.19	132	2.7%
3.24	124	2.5%
3.08	124	2.5%
3.15	122	2.5%
3.18	121	2.5%
3.12	120	2.4%
3.2	120	2.4%
Other values (91)	3110	63.5%
(Missing)	483	9.9%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
2.74	1	< 0.1%
2.77	1	< 0.1%
2.79	2	< 0.1%
2.8	3	0.1%
2.83	4	0.1%

Value	Count	Frequency (%)
3.82	1	< 0.1%
3.81	1	< 0.1%
3.8	2	< 0.1%
3.79	1	< 0.1%
3.77	2	< 0.1%

sulphates
Real number (ℝ_≥0)

MISSING

Distinct	78
Distinct (%)	1.8%
Missing	526
Missing (%)	10.7%
Infinite	0
Infinite (%)	0.0%

Mean	0.489878774
Minimum	0.22
Maximum	1.08
Zeros	0
Zeros (%)	0.0%
Memory size	38.3 KiB

Quantile statistics

Minimum	0.22
5-th percentile	0.34
Q1	0.41
median	0.47
Q3	0.55
95-th percentile	0.7045
Maximum	1.08
Range	0.86
Interquartile range (IQR)	0.14

Descriptive statistics

Standard deviation	0.1143431759
Coefficient of variation (CV)	0.2334111661
Kurtosis	1.642538891
Mean	0.489878774
Median Absolute Deviation (MAD)	0.07
Skewness	0.9843199583
Sum	2141.75
Variance	0.01307436187
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.5	228	4.7%
0.46	205	4.2%
0.44	195	4.0%
0.38	193	3.9%
0.42	162	3.3%
0.47	156	3.2%
0.49	153	3.1%
0.54	153	3.1%
0.4	152	3.1%
0.48	151	3.1%
Other values (68)	2624	53.6%
(Missing)	526	10.7%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.22	1	< 0.1%
0.23	1	< 0.1%
0.25	4	0.1%
0.26	4	0.1%
0.27	11	0.2%

Value	Count	Frequency (%)
1.08	1	< 0.1%
1.06	1	< 0.1%
1.01	1	< 0.1%
1	1	< 0.1%
0.99	1	< 0.1%

alcohol
Real number (ℝ_≥0)

MISSING

Distinct	102
Distinct (%)	2.3%
Missing	486
Missing (%)	9.9%
Infinite	0
Infinite (%)	0.0%

Mean	10.51835071
Minimum	8
Maximum	14.2
Zeros	0
Zeros (%)	0.0%
Memory size	38.3 KiB

Quantile statistics

Minimum	8
5-th percentile	8.9
Q1	9.5
median	10.4
Q3	11.4
95-th percentile	12.7
Maximum	14.2
Range	6.2
Interquartile range (IQR)	1.9

Descriptive statistics

Standard deviation	1.234729584
Coefficient of variation (CV)	0.117388136
Kurtosis	-0.7095914483
Mean	10.51835071
Median Absolute Deviation (MAD)	1
Skewness	0.4852554398
Sum	46406.96333
Variance	1.524557145
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
9.4	202	4.1%
9.5	201	4.1%
9.2	189	3.9%
9	169	3.5%
11	146	3.0%
10.5	142	2.9%
10	142	2.9%
10.4	140	2.9%
9.1	133	2.7%
9.8	123	2.5%
Other values (92)	2825	57.7%
(Missing)	486	9.9%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
8	2	< 0.1%
8.4	3	0.1%
8.5	3	0.1%
8.6	20	0.4%
8.7	70	1.4%

Value	Count	Frequency (%)
14.2	1	< 0.1%
14.05	1	< 0.1%
14	5	0.1%
13.9	2	< 0.1%
13.8	1	< 0.1%

quality
Categorical

Distinct	7
Distinct (%)	0.1%
Missing	0
Missing (%)	0.0%
Memory size	38.3 KiB

6.0	2198
5.0	1457
7.0	880
8.0	175
4.0	163
Other values (2)	25

Frequencies
Length

Value	Count	Frequency (%)
6.0	2198	44.9%
5.0	1457	29.7%
7.0	880	18.0%
8.0	175	3.6%
4.0	163	3.3%
3.0	20	0.4%
9.0	5	0.1%

Frequencies of value counts

Unique

Unique	0 ?
Unique (%)	0.0%

Histogram of lengths of the category

Length

Max length	3
Median length	3
Mean length	3
Min length	3

Pearson's r

The Pearson's correlation coefficient (r) is a measure of linear correlation between two variables. It's value lies between -1 and +1, -1 indicating total negative linear correlation, 0 indicating no linear correlation and 1 indicating total positive linear correlation. Furthermore, r is invariant under separate changes in location and scale of the two variables, implying that for a linear function the angle to the x-axis does not affect r.

To calculate r for two variables X and Y, one divides the covariance of X and Y by the product of their standard deviations.

Spearman's ρ

The Spearman's rank correlation coefficient (ρ) is a measure of monotonic correlation between two variables, and is therefore better in catching nonlinear monotonic correlations than Pearson's r. It's value lies between -1 and +1, -1 indicating total negative monotonic correlation, 0 indicating no monotonic correlation and 1 indicating total positive monotonic correlation.

To calculate ρ for two variables X and Y, one divides the covariance of the rank variables of X and Y by the product of their standard deviations.

Kendall's τ

Similarly to Spearman's rank correlation coefficient, the Kendall rank correlation coefficient (τ) measures ordinal association between two variables. It's value lies between -1 and +1, -1 indicating total negative correlation, 0 indicating no correlation and 1 indicating total positive correlation.

To calculate τ for two variables X and Y, one determines the number of concordant and discordant pairs of observations. τ is given by the number of concordant pairs minus the discordant pairs divided by the total number of pairs.

Phik (φk)

Phik (φk) is a new and practical correlation coefficient that works consistently between categorical, ordinal and interval variables, captures non-linear dependency and reverts to the Pearson correlation coefficient in case of a bivariate normal input distribution. There is extensive documentation available here.

First rows

	fixed acidity	volatile acidity	citric acid	residual sugar	chlorides	free sulfur dioxide	total sulfur dioxide	density	pH	sulphates	alcohol	quality
0	NaN	0.27	0.36	20.7	0.045	45.0	170.0	1.0010	3.00	NaN	8.8	6.0
1	6.3	0.30	0.34	1.6	0.049	14.0	132.0	0.9940	3.30	0.49	9.5	6.0
2	8.1	0.28	0.40	6.9	0.050	30.0	97.0	0.9951	3.26	0.44	NaN	6.0
3	7.2	0.23	0.32	8.5	0.058	47.0	186.0	0.9956	3.19	NaN	9.9	6.0
4	7.2	NaN	0.32	8.5	0.058	47.0	186.0	0.9956	3.19	0.40	NaN	6.0
5	8.1	0.28	0.40	NaN	0.050	30.0	97.0	0.9951	3.26	0.44	10.1	6.0
6	6.2	0.32	0.16	7.0	0.045	30.0	136.0	0.9949	3.18	0.47	9.6	6.0
7	7.0	0.27	0.36	20.7	0.045	45.0	170.0	1.0010	3.00	0.45	8.8	6.0
8	6.3	0.30	0.34	1.6	0.049	NaN	132.0	0.9940	3.30	0.49	9.5	6.0
9	8.1	0.22	0.43	1.5	0.044	28.0	129.0	0.9938	3.22	0.45	11.0	6.0

Last rows

	fixed acidity	volatile acidity	citric acid	residual sugar	chlorides	free sulfur dioxide	total sulfur dioxide	density	pH	sulphates	alcohol	quality
4888	6.8	0.220	0.36	1.20	0.052	NaN	127.0	0.99330	3.04	0.54	9.2	5.0
4889	4.9	0.235	0.27	11.75	0.030	34.0	118.0	0.99540	3.07	0.50	9.4	6.0
4890	6.1	0.340	0.29	2.20	0.036	25.0	100.0	0.98938	3.06	0.44	NaN	6.0
4891	5.7	0.210	0.32	0.90	0.038	38.0	121.0	0.99074	NaN	NaN	10.6	6.0
4892	6.5	0.230	0.38	NaN	0.032	29.0	112.0	0.99298	3.29	0.54	9.7	5.0
4893	6.2	0.210	0.29	1.60	0.039	24.0	92.0	0.99114	3.27	0.50	NaN	6.0
4894	6.6	0.320	0.36	8.00	NaN	57.0	168.0	0.99490	3.15	0.46	9.6	5.0
4895	6.5	NaN	0.19	1.20	0.041	30.0	111.0	0.99254	2.99	0.46	9.4	6.0
4896	5.5	0.290	0.30	1.10	0.022	20.0	110.0	0.98869	3.34	0.38	12.8	7.0
4897	6.0	0.210	0.38	0.80	0.020	22.0	98.0	0.98941	3.26	0.32	11.8	6.0

Most frequent

	fixed acidity	volatile acidity	citric acid	residual sugar	chlorides	free sulfur dioxide	total sulfur dioxide	density	pH	sulphates	alcohol	quality	count
66	7.3	0.19	0.27	13.9	0.057	45.0	155.0	0.99807	2.94	0.41	8.8	8.0	5
71	7.4	0.16	0.30	13.7	0.056	33.0	168.0	0.99825	2.90	0.44	8.7	7.0	5
63	7.2	0.25	0.28	14.4	0.055	55.0	205.0	0.99860	3.12	0.38	9.0	7.0	4
77	7.6	0.20	0.30	14.2	0.056	53.0	212.5	0.99900	3.14	0.46	8.9	8.0	4
9	6.2	0.22	0.28	2.2	0.040	24.0	125.0	0.99170	3.19	0.48	10.5	6.0	3
14	6.3	0.13	0.42	1.1	0.043	63.0	146.0	0.99066	3.13	0.72	11.2	7.0	3
16	6.4	0.24	0.26	8.2	0.054	47.0	182.0	0.99538	3.12	0.50	9.5	5.0	3
20	6.5	0.18	0.41	14.2	0.039	47.0	129.0	0.99678	3.28	0.72	10.3	7.0	3
48	7.0	0.15	0.28	14.7	0.051	29.0	149.0	0.99792	2.96	0.39	9.0	7.0	3
82	7.7	0.30	0.42	14.3	0.045	45.0	213.0	0.99910	3.18	0.63	9.2	5.0	3

Overview

Variables

Interactions

Correlations

Pearson's r

Spearman's ρ

Kendall's τ

Phik (φk)

Missing values

Sample

First rows

Last rows

Duplicate rows

Most frequent